{"id":"https://openalex.org/W2027860910","doi":"https://doi.org/10.1016/s0168-0072(03)00060-5","title":"More existence theorems for recursion categories","display_name":"More existence theorems for recursion categories","publication_year":2003,"publication_date":"2003-09-03","ids":{"openalex":"https://openalex.org/W2027860910","doi":"https://doi.org/10.1016/s0168-0072(03)00060-5","mag":"2027860910"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(03)00060-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(03)00060-5","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063477465","display_name":"Fl\u00f3ri\u00e1n Lengyel","orcid":null},"institutions":[{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]},{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Florian Lengyel","raw_affiliation_strings":["The Graduate School and University Center, The City University of New York, 365 Fifth Avenue, New York, NY 10016, USA"],"affiliations":[{"raw_affiliation_string":"The Graduate School and University Center, The City University of New York, 365 Fifth Avenue, New York, NY 10016, USA","institution_ids":["https://openalex.org/I174216632","https://openalex.org/I121847817"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063477465"],"corresponding_institution_ids":["https://openalex.org/I121847817","https://openalex.org/I174216632"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":1.2751,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76180879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"125","issue":"1-3","first_page":"1","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8602419495582581},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.7311084270477295},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7085453271865845},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.6086941957473755},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5904298424720764},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.5816008448600769},{"id":"https://openalex.org/keywords/concrete-category","display_name":"Concrete category","score":0.518525242805481},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49106383323669434},{"id":"https://openalex.org/keywords/subcategory","display_name":"Subcategory","score":0.4793282747268677},{"id":"https://openalex.org/keywords/primitive-recursive-function","display_name":"Primitive recursive function","score":0.42553412914276123},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.41124480962753296},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37324559688568115},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35785433650016785},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3232259154319763},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08946964144706726}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8602419495582581},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.7311084270477295},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7085453271865845},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.6086941957473755},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5904298424720764},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.5816008448600769},{"id":"https://openalex.org/C128520899","wikidata":"https://www.wikidata.org/wiki/Q1575634","display_name":"Concrete category","level":3,"score":0.518525242805481},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49106383323669434},{"id":"https://openalex.org/C2780617661","wikidata":"https://www.wikidata.org/wiki/Q541563","display_name":"Subcategory","level":2,"score":0.4793282747268677},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.42553412914276123},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.41124480962753296},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37324559688568115},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35785433650016785},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3232259154319763},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08946964144706726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0168-0072(03)00060-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(03)00060-5","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1566009901","https://openalex.org/W1635013531","https://openalex.org/W1898152104","https://openalex.org/W1966784778","https://openalex.org/W1982582912","https://openalex.org/W2005080671","https://openalex.org/W2012816697","https://openalex.org/W2033751758","https://openalex.org/W2052264475","https://openalex.org/W2060195588","https://openalex.org/W2068003272","https://openalex.org/W2088189323","https://openalex.org/W2092786729","https://openalex.org/W2113945089","https://openalex.org/W2114751793","https://openalex.org/W2118866749","https://openalex.org/W2120713972","https://openalex.org/W2138785176","https://openalex.org/W2160625512","https://openalex.org/W2477465787","https://openalex.org/W2574983198","https://openalex.org/W4239158956"],"related_works":["https://openalex.org/W2081338036","https://openalex.org/W2951649171","https://openalex.org/W2006497630","https://openalex.org/W2460138608","https://openalex.org/W2963933542","https://openalex.org/W2536820745","https://openalex.org/W2402899604","https://openalex.org/W1999357689","https://openalex.org/W2754614052","https://openalex.org/W2951195380"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
